"Rights" of setting conditions of entry does not include a right to demand to see identification, permits or papers.
Are we talking about Rights (God-given or Natural, however you choose to view it) or "rights" (actually closer to privileges and whims that are not fundamental or innate to every individual)?
If you respect someone's property Rights, as MAC702 does (even to his own inconvenience, which is more than I can say for myself), you will comply with their requests in order to continue being welcome on their property (just like I don't let shirtless individuals into my home unless they have a damn good reason for being shirtless).
So yes, if they ask you to abstain from wearing yellow because it makes them sad, or from wearing your left shoe because the devil wants people to wear shoes on their left foot, you comply
IF you want to remain welcome there. Now, if I want to exercise my Right to wear yellow, I may still do so OFF their private property because it is not my Right to wear yellow on their private property against their wishes.
With regards to the OP: if they ask or even demand to see ID or a permit, they may do so, and it is their Right to do so as a requirement for allowing you continued access on their property. If you disagree to it, you are no longer welcome on their property and as such are now violating their Right to make whatever asinine requests they wish to establish for anyone on their property. However, you have the Right to exercise your RKBA
elsewhere, as that Right has not been infringed upon by the individual who only has authority (property Rights) on their parcel of land.
A Right is a Right until it "conflicts" with another Right, and analysis reveals which "right" is not actually a Right in that case.
Where is Eye95 to explain this (and far more eloquently than I)?